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Finding the Fourth Proportional to 284.47, 427.04 and 283.22

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Solution

The fourth proportional to 284.47, 427.04 and 283.22 is: 425.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.47 : 427.04 = 283.22 : x
  2. Step 2: Convert to fraction form
    284.47/427.04 = 283.22/x
  3. Step 3: Cross multiply
    284.47x = 427.04 × 283.22
  4. Step 4: Simplify right side
    284.47x = 120,946.27
  5. Step 5: Solve for x
    x = 120,946.27/284.47
  6. Step 6: Final answer
    x = 425.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.